Finite Group Theory

Finite Group Theory

Einband:
Fester Einband
EAN:
9780521781459
Untertitel:
Englisch
Genre:
Mathematik
Autor:
Michael Aschbacher, M. Aschbacher, Aschbacher M
Herausgeber:
Cambridge University Press
Auflage:
Revised
Anzahl Seiten:
320
Erscheinungsdatum:
11.01.2006
ISBN:
0521781450

Zusammenfassung Finite Group Theory develops the foundations of the theory of finite groups with an emphasis on the finite simple groups. It can serve as a text for advanced undergraduates or graduate students in mathematics and as a basic reference for research mathematicians. Inhaltsverzeichnis 1. Preliminary results; 2. Permutation representations; 3. Representations of groups on groups; 4. Linear representations; 5. Permutation groups; 6. Extensions of groups and modules; 7. Spaces with forms; 8. p-Groups; 9. Change of field of a linear representation; 10. Presentations of groups; 11. The generalized Fitting subgroup; 12. Linear representations of finite groups; 13. Transfer and fusion; 14. The geometry of groups of Lie type; 15. Signalizer functors; 16. Finite simple groups.

Inhalt
1. Preliminary results; 2. Permutation representations; 3. Representations of groups on groups; 4. Linear representations; 5. Permutation groups; 6. Extensions of groups and modules; 7. Spaces with forms; 8. p-Groups; 9. Change of field of a linear representation; 10. Presentations of groups; 11. The generalized Fitting subgroup; 12. Linear representations of finite groups; 13. Transfer and fusion; 14. The geometry of groups of Lie type; 15. Signalizer functors; 16. Finite simple groups.


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